Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Velocity as a Function of position

  1. Jan 25, 2005 #1
    At an outdoor market, a bunch of bananas is set into oscillatory motion with an amplitude of 20.0cm on a spring with a spring constant of 16.0 N/m. It is observed that the maximum speed of the bananas is 40.0 cm/s. What is the weight of the bananas in newtons?
     
  2. jcsd
  3. Jan 25, 2005 #2
    This is an isolated system, so mechanical energy is conserved.

    [tex]E_{mechanical}=E_{kinetic}+E_{potential}[/tex]

    The maximum speed will occur at x=0 (x is the distance the spring is stretched from its equilibrium position). Also,

    [tex]E_{potential}=\frac{1}{2}kx^2[/tex]

    and as you probably know

    [tex]E_{kinetic}=\frac{1}{2}mv^2[/tex]

    You should be able to figure it out using that.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook